Question

If a,b are zeros of x2+5x+k where a2+b2=11 then find k

Answer 1

Answer:

sorry didn't no the answer

Step-by-step explanation:

But this question answer will get in Google

Answer 2

The value of 'k' comes out to be 7.

Given,

Equation → x² + 5x + k

a, b are the zeroes of this equation

a² + b² = 11

To Find,

The value of 'k'

Solution,

By comparing the given equation with the general quadratic equation -

αx² + βx + c = 0

we can say that,

α = 1, β = 5 and c = k

Using the relation between roots of equation -

a + b = -β/α

ab = c/α

a + b = - 5      - (1)

ab = k            - (2)

We have also been given that,

a² + b² = 11

Therfore, squaring (1) we get -

(a + b)² = (-5)²

a² + b² + 2ab = 25

Substituting the values we get,

11 + 2(k) = 25

2k = 14

k = 7

Thus, k is equal to 7.

#SPJ2